1995 Mazda Truck 4 wheel drive locks

There are two Tech Bullitens on your truck for this problem...maybe!:
FOUR WHEEL DRIVE - POPPING NOISE ON ENGAGEMENT -1995 Mazda B4000 LE
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FOUR WHEEL DRIVE - POPPING NOISE ON ENGAGEMENT
TECHNICAL SERVICE BULLETIN
Reference Number(s): MT 07-07, Â Date of Issue: Â 1995 Related Ref Number(s): MT 07-07
ARTICLE BEGINNING
POPPING NOISE IN 4WD MODE
Model(s): All Mazda 4WD Models
Category: Mazda Tips
Bulletin No.: MT 07-07
Date: 1995
DESCRIPTION
If a customer complains of a popping noise when the vehicle is put into or taken out or 4WD mode, or while driving in 4WD mode, inspect the tires to ensure they are all the same type (manufacturer, size, tread pattern, etc.) and in good condition. Even though tires may say they are the same size, slight differences do occur from one tire manufacturer to another. Also, differences occur between new and worn tires of the same type, and between tires that are inflated to different pressures. Any of these situations can be enough to cause axle speed differences, which in turn can cause a popping noise, so make sure to check the tires first before attempting any repairs.
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PING/CREAK NOISE FROM DRIVELINE/INITIAL ENGAGEMENT
TECHNICAL SERVICE BULLETIN
Reference Number(s): CAT. 03, NO. 001/99, CAT. J, NO. 001/98, Â Date of Issue: Â November 10, 1999 Superceded Bulletin(s): J 001/98, Â Date of Issue: Â November 4, 1998 Related Ref Number(s): CAT. 03, NO. 001/99, CAT. J, NO. 001/98
ARTICLE BEGINNING
PING/CREAK NOISE FROM DRIVELINE - TRANSMISSION IS ENGAGED
Model(s): 1991-1994 Mazda Navajo
1994-1997 Mazda B-Series
Category: 03 - Driveline/Axle
Bulletin No.: 001/99
Date: November 10, 1999
NOTE: This bulletin supersedes J 001/98, issued November 4, 1998.
APPLICABLE MODEL(S)/VINS
1991-1994 Navajo 4WD
1994-1997 B-Series Cab Plus 2WD
1994-1997 B-Series Regular Cab & Cab Plus 4WD
DESCRIPTION
A "ping" or "creak" (not a clunk) noise may be heard from the driveline when engine torque is initially applied (shifting gears or engaging clutch). The cause of the noise is driveshaft or transfer case yoke snapping across the spline clearance on the output shaft as torque is applied. Customers complaining of this concern should have the vehicle repaired according to the following procedure.
REPAIR PROCEDURE
ALL CAB PLUS (2WD & 4WD)
CAUTION:Original parts orientation is extremely important. MARK mating components prior to disassembly. Improper component

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assembly may result in driveline vibration.
1.Verify concern. 2.Mark the yoke and coupling output shaft. 3.Separate coupling shaft and rear drive shaft. 4.Remove center bearing yoke retaining nut and center bearing yoke. See Fig. 2 . 5.Clean all oil from splines (male and female) with a suitable solvent. 6.Apply Loctite Quick Metal Retaining Compound (P/N 20297 OR 66010) to the splines on the center bearing yoke.
CAUTION:Do not apply compound to the coupling output shaft splines.
7.Install yoke and nut making sure that the excess compound is squeezed away from the center bearing. 8.Tighten center bearing yoke nut using special tool (SST 49-5120-710 or equivalent) to hold center bearing yoke in place.
à   Tightening torque: 135-162 N.m (100-120 ft-lbs) 9.Assemble coupling shaft and rear driveshaft.
CAUTION:Align shafts with original alignment marks.
10.Tighten four (4) universal joint retaining bolts.
à   Tightening torque: 18-25 N.m (13-18 ft-lbs) 11.Write "Loctite", the date and this bulletin number on the center yoke with a paint pen.
NOTE: This information will inform future technicians that a 3-jaw puller is required to remove this yoke if future repair is necessary.
12.Verify repair on 2WD vehicles. For 4WD Cab Plus vehicles proceed to the following repair procedure "ALL 4WD (Regular & Cab Plus)".
REPAIR PROCEDURE - ALL 4WD (REGULAR & CAB PLUS)
CAUTION:Original parts orientation is extremely important. MARK mating components prior to disassembly. Improper component assembly may result in driveline vibration.
1.Verify concern. 2.Mark and remove the complete rear driveshaft assembly to gain access to the rear yoke nut on the transfer case. Refer to the Workshop Manual for removal instructions.

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3.Remove transfer case yoke retaining nut and transfer case yoke. 4.Clean all oil from splines (male and female) with a suitable solvent. 5.Apply Loctite Quick Metal Retaining Compound (P/N 20297 OR 66010) to the splines on the transfer case rear yoke.
CAUTION:Do not apply compound to the transfer case output shaft splines.
6.Install yoke making sure that the excess compound is squeezed away from the transfer case. 7.Tighten transfer case yoke nut using special tool (SST 49-5120-710 or equivalent) to hold the yoke in place.
à   Tightening torque: 339-380 N.m (250-280 ft-lbs) 8.Install rear driveshaft assembly.
CAUTION:Align shafts with original alignment marks.
9.Tighten eight (8) rear driveshaft retaining bolts. Refer to the workshop manual.
à   Tightening torque 88-119 N.m (65-87 ft-lbs) 10.Write "Loctite", the date and this bulletin number on the transfer case yoke with a paint pen.
NOTE: This information will inform future technicians that a 3-Jaw puller is required to remove this yoke if future repair is necessary.
11.Verify repair.
PARTS INFORMATION - OBTAIN LOCALLY
Mazda dealers in the U.S. - Call 1-800-338-9000, 8am to 5pm (EST) or fax 1-800-548-7369
Mazda dealers in Canada - Call 1-905-890-6511, or fax 1-905-890-6522.
Ask for Loctite Quick Metal Retaining Compound Program P/N 20297 OR 66010
WARRANTY INFORMATION
NOTE: This information applies to verified customer complaints on vehicles covered under normal warranty. Refer to the SRT microfiche for warranty term information.
Fig. 1: WARRANTY INFORMATION TABLE
Fig. 2: Center Bearing Yoke Retaining Nut Location
Fig. 3: Transfer Case Rear Yoke Nut

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This is the only thing I have found that is common to your truck. You will have to check the tires as a first step, inflate all four to the same pressure, and be sure they are all the same size and brand. If thats OK, you need to take it apart and have another look at it.