Yes, I think the Jameson tour is cheaper than the Guinness one too. There's a good pub in Smithfield, right around the corner from the Jameson Distillery. It's called The Cobblestone and it's on Smithfield square. They will most likely have live music if you're in to that. It doesn't look like much on the outside, so don't be put off, but it's a really popular pub with the locals and the music is great.
If you're looking for a reasonably priced place to eat with good food, the IFI is awesome.
You could go out to Phoenix Park. The Dublin Zoo is there. I believe the open top bus goes out there, but I'm not 100%. I agree with the idea of getting out of the city. Malahide and Howth are both really nice and the DART goes there. Malahide Castle is worth a visit, but I'm not sure if it will be open on Tuesday. If the weather's nice you could also get the DART to Blackrock (or all the way to Dun Laoghaire) and walk along Dublin Bay.
I think your list of things looks good! I really enjoyed the Gaol when I went a few years ago. Have a fun time!