Smoked = something burnt out.
90% of the time the vehicle that has the lower battery charge will be the one to sustain damage if the jump is connected wrong. That is due to the "good" battery feeding the circuits the wrong polarity from the connection.
However you mention that your truck had only a bad radio, but that you let it set 10 weeks. 10 weeks is long enough that your battery is very discharged, especially if this is the one that was jumped in reverse polarity. Lights coming on doesn't mean much, they only draw a few amps while the starter will draw more than 200 amps. The discharged battery can cause a lot of other "problems" that will vanish when a good battery is installed.
The first thing I would do is pull the battery and have it load and amp tested. Most parts stores will do that for free. Then once you get the truck running take it back and have them run a charging system test on it.
Tuesday, October 15th, 2019 AT 5:13 PM