if you want to check for the fan first unplug it from the thermostat housing and jump it with a pin to insure the fan relay works. If the fan turns on with the key on move up to warming it up and waiting. Should take somewhere between 15-20 mins to get the fan to turn on.

Temp needle may seem like its not moving fast at all or moving period but give it time. If after 20 mins no fan movement i would say to start with the temp sensor. Try to clean the contact surface. Get some steel wool and clean it up till its silver shiny again. After that shoot some parts cleaner on it and thread it back in. Make sure to use some sort of thread sealant as when you take that booger out your coolant will come gushing out until you plug it up. Anyway once you clean it up, and get some thread sealant stick it back in and retry.