What to do with kitchen cabinets in this condition

[Ben M.]

Can contractors create missing parts for cabinets (like the one circled on the left) so that we won't have to get new cabinets?

Can they also fix wood rot under the sink (like the one circled on the right) and just replace the rotted areas so we won't have to get new cabinets?

[William W.]

It looks like all of the drawers are off of the stiles, and I see a missing door up top too (although part of it is still there). Someone must have gotten mad and ripped it off.

If you have a Surplus Warehouse in your area check out their cabinets, they usually have plywood boxes unlike the big box stores that are usually particle board. 

Even if you get new cabinets, I still recommend lining the bottom of the sink base with FRP paneling, and come up the sides and back about 4 inches, silicone the seams well... this will prevent water damage in the future.