Replacing Dometic Duo Therm thermostat

[NorthwestBound]

So i picked up a Honeywell programmable digital thermostat to replace the old analog Dometic Duo Therm that has more than a 10 degress f spread from off to back on, giving us a temperature roller coaster throughout the chilly nights.

My issue is my wiring. The colors dont match the terminals they are wired to causing confusion. If you have any insight i woul appreciate it. Heres what ive got:






And heres what i want to replace it with:

[Me_Again]

Hook it up by the terminal codes. RH most likely goes to R. The others look like they match.

W=Black
Y=White
G=Green
RC=Red
H=Blue
RH/R=Red?