engine problem
 

i have a 1987 na rx7, unknown model #. problem with stalling after starting the car, cant figure out why. also, i have oil that looks like it is leaking from some where, cant find where. runs fine within the first five minutes or so. rpms move up and down eratically between 1 1/2 and 0. have to keep foot on the gas to keep the car running. any suggestions?????

it is simply a bad or mis-adjusted TPS