Transmission is having an issue with second to third gear shift

I recently bought the car listed above GT. When I have the car set in D, the 1st to 2nd gear shifts fine. When it goes to try and shift from 2nd to 3rd(or overdrive) it stays in 2nd then It neutrals out (just revs high rpm's with no response) so I can only drive up to second gear. I changed the transmission filter and fluid, it wasn't dark and didn't smell burned. Made sure my shift cable was in correct position. I'm left with the stub shaft being the issue or maybe the solenoids? I haven't checked them yet because that would involve me dropping the pan again. Any suggestions?