2000 Dodge Caravan

Electrical problem
2000 Dodge Caravan 6 cyl 90000 miles

Ok, Just bought a 2000 Dodge Grand Caravan. The person I bought it from had stated that the battery would drain and that it has to be jump started. So I go to get the van. Checked the battery and meter read less then one (1) volt. So we jumped it and got it running. Tested alt output which was at 14.6 volts. Drove it and it drove wonderfully but anytime I would use a power option(window, rear defrost, adjust heat setting) the cluster panel would flicker. Also when slowing you could tell that the power output was dropping. Went to pull into the store and it died. Jumped it again, drove it another mile and it died as I was slowing to turn into my driveway. I popped the hood and noticed smoke and a burnt wire smell. The smoke appeared to be coming from a little silver box with a bunch of wires leading to it held together by a plastic fitting with a bolt(the silver half looks like a smaller PCM). I have no clue what this is and can not find it in my Chiltons. I will be attaching a picture of the my suspected culprit part. I do not believe its a parasitic drain and the alt appeared to be working well(also checked for AC). after the last time it died I checked the battery and it read just over 1 volt left in the battery after an hour. Which again would lead me to think parasitic drain if it weren't for the smoke and burnt rubber smell. And the fact it died several times having to be jumped for restart. Any ideas would be greatly appreciated and if someone could identify the part the smoke was coming from that would be great too. Ok, after note: I found out the part was the Transmission Control Module. Now that being said I believe this not to be the culprit. Due to the fact the car can be jumped and driven fine for a while. I m baffled as to what can be the problem with the symptoms. Thank you for your time.