I am not up to date on modern devices - I have always been a desktop kinda guy. Will old games like this run on tablets?

Sorry if it's a stupid question - thanks for your time.

They would if somebody made them to. Unfortunately, since tablets are a new thing and old games not so popular thing...
Some progress was, however made, and so there is today:
[url=http://en.wikipedia.org/wiki/Baldur's_Gate:_Enhanced_Edition]http://en.wikipedia.org/wiki/Baldur's_Gate:_Enhanced_Edition[/url]
which runs on ipad with iOS 6. Soon to come for android, as the article suggests. There is also baldurs gate II for ipad i think.
Anyways, tablets are capable of running these kind of games for sure if that comforts you :)

It's not an official rerelease or anything, more like an emulator, but you can get most of the Infinity Engine games to run on tablets and some smartphones using GemRB. Not sure if it works with PS:T or not, but a quick Google search should help you find out.