what is your pressure/deadline for committing to the job offer "in hand" ? can you apply to the others, which in fact sound like they will give you a lot more in your areas of interest? do you have any idea of the turn-around time for the other jobs to respond? you sound like you have good credentials, and maybe you can risk at least a little time to choose. i'd definitely apply to the others, ASAP! THEN see what happens! get on them now! best of luck! you'll be fine!
P.S. most jobs allow for applicants to say they need a little more time and will get back to them in.....