Re: Rumbling at the rear on acceleration..
Congratulations on an excellent find! And welcome to the forum!
If it was never garaged and nothing to do with your issue now I'd check the storage area underneath the cargo area(trunk) on the passenger side for water. Just slide a piece of printer paper down beside the black foam insert down until it stops if it is wet when you pull it out you know your spoiler plate is leaking and there is a great thread here on how to repair it that 180 did. I would repair it before it ruins your security module and CPS pump. I have a SRT and it is garage kept and I got it from southern California so not very much rain in its life and mine had two inches of water in there and caused all kinds of problems for me.
Again welcome and as you see already there are some extremely capable people here that can help you with any issue that you may encounter.