YOUR SF35 model uses a Timed Delay Relay (relay in 2nd picture)
It is probably your problem
DC goes to the relay (and to thermostat)
When thermostat closes the DC comes back to relay thru coil to ground
Coil heating up allows DC to Fan
Bad relay...no fan ---no fan nothing else gets DC
The Circuit Board you purchased is for newer SF models that do not have the Relay.....it'sfunction has been incorporated onto the circuit board
BUT all is not lost.....there is a 'wiring kit' with instructions available to swap from the TDR to Pwr/Blo
https://pdxrvwholesale.com/products/...ing-kit-520832
Replacement/new style TDR available but costs $40-$50 depending on vendor
Suburban Furnace Time Delay Relay 48000