stater turns over will not fire

in Dodge
a month ago my battery went dead in my 2002 ram 1500 5.9. i jumped it and it wouldnt idle. so i was told to charge the battery. problem fixed. i go to start it today, and it would not fire up. and then it seemed like the starter soliniod stuck. and then it wud stop. the battery was also going dead quick. could a bad battery cause all this? like its sending a signal to the computer or something? im sorry, but these newer trucks are a mystery to me. any help would be appreciated
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One mechanic told us it could be the TPS (throttle positioning sensor), or some kind of throttle needle (haven't looked that up in the haynes yet, I hope he is not using slang).
I'll report however what I find out if you do as well.
Hope it helps.