yey! this is one of my favourite things about the places I've lived in Asia - we just don't have this stuff available back in England (at least not where I come from).
Yes, the standard elementary track is 200m. If you go to a highschool or university it is 400m. These are really useful lengths.
When I'm training I find it very difficult to keep count, too. I would sometimes run for a few hours and do tens of laps, so it was pretty important not to loose count. In the end, I found the best way was to get a watch (you could use a phone). Start the stop watch and just add a lap each time you go around - it'll do the counting for you. Only you have to remember to hit the button each time. Better is a watch or timer with a countdown feature (not all watches have this feature). You choose a pace and the timer will count down and automatically restart each lap (it might beep at you, too - which might not be in-keeping with your mode of exercise).
Less good ways I found involved changing lane each lap, counting on my fingers - but this leads me back to the distance thing. At a university the track is 400m so four laps is 1.6km or one mile. So, for an elementary sized track that'd make it 8 for one mile. 5 laps is 2km, obviously. So, you can set yourself goals. 5 mins for 2km (5 laps), for example.
Regarding the gym equipment. I guess it depends on your gender and your aims. My favourite is the pull up bars. You just can't really get them anywhere else and it is such an awesome exercise. Also the parallel bars are pretty awesome for dips. There are some wicked exercises you can do on youtube.
This might give some ideas (if not you can follow the linked vids):