Your ballast unit at the moment is this
If you want to find a repair center and repair it the most common problem is this chip (i have fix dozens). You find that chip (M51995AFP) and you changed it
On the other hand you can do this. If you fix your projector to a JVC point say to them with your responsibility to put you the newer ballast of X35 and above (it fails too, not so often). This is the part and its cheaper.
This ballast is USHIO ballast and will work just fine with your projector even with your old lamp.
But in order to avoid flickering and why not to earn some light you will put the USHIO lamp from X500. You can find it as a spare bulb only and you can put it on your old housing, or buy it as a housing for X500 and swap your cable and connector from your old lamp.
The lamp is this
Amazon product ASIN B00C74RWV2
If you do that, you will not fix only your projector but you are going to upgrade it too. Keep in mind that the USHIO lamp is very tough lamp, you will not have overheating problems even with your default cooling system.
Another solution is to find the original ballast of the HD1-HD100 (there is no stock i think, so you have to look on ebay). Its a beast and is working on your projector perfectly with your original lamp (same 200W).