My bike has 11 000 miles on it. I do have a trickle charger which I will put on her tonight. Good idea.
I'll check the valve cover bolts to ensure they are tight. If they are, I will order a new gasket and plan on replacing it.
I will replace the spark plugs at the same time this weekend.
Is it difficult to check the jets and filter?
Checking the filter is easy.
1. Remove the left side cover. You will see a snorkel that directs air into airbox.
2. Remove the snorkel and the mount for the snorkel. I believe there are two bolts that hold the where snorkel mounts to the airbox. I have long since ditched the snorkels on both of my T100's. I don't recommend that you do that unless you are prepared to rejet your carbs. The Bonneville engine runs leans from the factory and without the snorkel, it will run more lean.
3. With the snorkel and mount removed, you can see the filter. You remove the filter by pulling it straight out. You might want to put a piece of masking tape on the frame where the filter comes out. The filter is tight fit and it will brush the frame. The tape will keep you from scratching the frame.
Examine the filter and see if it is dirty. If it is new filter, both the inside and the outside should be white. You can try to start your bike withe the filter out and see if it starts.
It is possible that the previous owner installed a unifilter, which is reuseable, or a K&N, which is also reuseable. These filters need to cleaned and
very lightly oiled.
Once the filter is out, check the airbox and the opening from it to the engine for any nests as Harry posted. You may find a little oil in the bottom of the airbox. These is normal; the engine breather vents into the airbox. If the engine oil has been overfilled, you may find quite a bit of oil there. Clean the oil out with a rag, preferably a lint free shop rag. Don't use a paper towel as these will get bits of paper in the carbs. You can use kerosene or mineral spirits to clean out the oil if there is much there.
Before you check the filter though, charge the battery and try to start the bike. If it does not start and run on a fully charged battery, change the sparks plugs and try again to start it. If it still does not start and run, then check the filter. By taking it a step at a time, you may be able to pinpoint what went wrong. Please let us know.
Doug's instructions for draining the carb bowls are spot on. If you remove the bowls completely, look in the bottom of each them for trash and sediment. Clean them if there is anything in them. If you find even a little trash in them, it may well indicate trash has plugged up a jet.