If the tranny heats up will it overheat the engine?

Inherated a trooper I dont know why it was parked no one to ask? So I picked it up, sat for three years, I put in a batt. Started right up. I noticed after I moved the trooper there was a oil spot where there was a leak. I checked the oil it was fine clean. So while it is at idle I checked the tranny fliud empty. So I drive it to my house there is a weird smell and a lil smoke coming from under the drivers door when I step out. The temp gadge was not even 1/4 way to operation temp. Oil perssure gadge reads 60 when cold then around 30 when warmed up and goes up when I give it gas. Ive tryed to get the truck to overheat by letting it idle in my driveway for a while but it doesnt get hot. But there is a lil smoke coming from somewhere by the tranny. I dont know if it is just stuff burning off that has got under there over the years? Or the tranny or the cat? There is a smell but not like rotten eggs or sulfer. It could be old oil and grime burning off I dont know. Please help any feed back on this is greatly appreated