You might also just consider buying a new bike, that was a $300 bike 10 years ago. If you're really wanting to just install a new front derailleur and crank/bb, at least you're not going too expensive. However, the crank you spec'd uses a 121 or 126 mm spindle length for the bottom bracket (I'll assume your bottom bracket shell is 68mm wide), for a 47.5 or 50mm chainline respectively. The front derailleur sounds good but depends how much you're looking to pay.
It's possible you might just need your front derailleur adjusted (front derailleurs are fairly durable and there's not much to them if they worked before and haven't been damaged, although am no fan of e-types in any case).
That new chain may have problems with the old cassette depending on how worn it is (it'll skip on the teeth if it's too worn).