97LXBIRD

Okay so hear we go,,, i recently purchasched a 97 LX Tbird,,, love the car its in great shape and i got it cheap due to the overheating issue,, "that i thought i could easily repair" WRONGG!! anyhow it will overheat while setting still? it has a new water pump, i flushed the coolant, replaced reservoir cap, supposedly has had a new intake gasket installed before i purchased it, but anyhow if i drive the car it overheats extremely fast to the point of the coolant being pushed out of the reservoir,, it seems to me that the fan isnt working correctly.. the temp gauge sometimes gos more than 3/4 of the way up before the fan kicks on then when it does activate it only runs for a minute or two and the car is still hot,, could the relay be bad or what could be causing my fan to be ,malfunctioning?? if it is ,,, Thanks in advance for any help!!

ps i forgot to mention that i nstalled a new thermostat as well