Honda HRR216K3-VXA has 2 problems. (1) throttle goes from fast to slow all my itself (2) Engaging the blade does not work all the time
Honda issued a Product Improvement Campaign back in 2006 to address a problem with the blades not staying engaged on this mower.
Please look on the back of the mower deck and check the serial number:
For used mowers, the fix is typically to replace the Roto-Stop control. A Honda Dealer really needs to look at the unit to be sure; here's a link to find one in your area:
Find A Honda Dealer
The throttle slipping could just be a loose spring, cable, worn controls, etc. Here's how it comes apart: