Can you get other things besides money as reenlistment incentives?

I got a nice back pack, exercise set, Army Star Logo Mug, Insulated Water Bottle with Army Logo, and a Army Reserve Coyote Brown Shirt as my reenlistment incentive.

Didn't get a bonus because I went Indefinite.. then the next SRP list came out a month later with $20K. Man was I mad

Its very hard for reservists to get slotted for these schools unless you are in a unit that has an authorized slot for them. Sapper school is a very hard school to get into, even while serving active, you need to be in a sapper company.

Airborne has an OML for slotting, and unless you are going to a unit in which the P SQI is required or you are attending a school that requires it, you as a reservist, are unlikely to finagle that into your contract.

As a Reservist, it's kind of tough getting stuff other than money when we re-up. Since you're in the 12 series, you could always try and get Sapper. Although, I've never heard of someone getting a Sapper seat written into their contract. I would definitely recommend you talk to your Retention NCO to see what kinds of perks you can get.