Alright, I don't know if the Zoom can do reamping (record dry while listening to a wet signal, then play the dry signal back and record the wet signal) but assuming it can:
1) Use the Zoom as your interface while recording Guitar
2) Use the Jamsticks for your drums with whatever drum program you like for sounds. EZ Drummer, AD, Superior Drummer, BFG, whatever
3) When you're ready for vocals, use the Tascam.
I recommend getting a Line 6 UX1 or higher. It'll give you Pod Farm which can give you bass guitar, guitar, and vocal amp models to run on your laptop. It'll give you a Mic and Line input and can record dry.
For Bass guitar, if you don't have one, play it on your guitar and use Cool Edit or something to tune it down an octave or two. It sounds terrible by itself, but in a mix it can do a pretty convincing job. I know. That's how I used to do it until I could buy my own bass. BTW, my Squier P-Bass (with J-Bass pickups) that I just bought for $200 sounds WAY WAY WAY better than my "nicer" ibanez bass. I recommend picking up one.
For Vocals, you'll want a LDC or large diaphragm condenser microphone. There are a ton of low cost LDC's like the MXL2003. These won't sound awesome but at your level they'll be more than adequate. Your Tascam has Phantom Power, which you'll need to use the LDC mic.
When all is said and done, you laptop will suck at this job. The processor is slow and the RAM is insufficient to do very well at running lots of plugins and samplers. If you can record your guitar track, then define the sound you want, then render it to a stem track, that'll help you alleviate the plugin processing. Same with drums. Get what you want figured out, then render the tracks to .wav files.
If you check out
www.myspace.com/offormerfame and listen to the songs there (The Pharisee is brand new). I've used this setup pretty much. I use the UX8 so I don't need 2 interfaces. However, drums were recorded in MIDI and run into Addictive Drums or EZ Drummer. Guitars, Bass, and Vocals were all done with Pod Farm. Reverbs and such were all free plugins. I have some expensive plugins too, but honestly I don't need them a lot with Pod Farm.