Yes, it is very likely to be a head gasket, but at this point I think that you should be just as concerned with the effect of overheating as you are with the cause of the problem.
I say that because aluminum engines–like those in Hondas–do not take well to overheating. One overheating incident can be enough to cause enough damage to necessitate ditching the engine, but with at least 2 overheating incidents, I would have SERIOUS concerns about the health of your engine.
In addition to the probability that the cylinder head is now warped, there is a real possibility that the cylinders themselves are “scored”, and that bearings have been damaged. With a 14 year old car, to most people that would equal cutting their losses and getting rid of the car.
However, a lot of that decision probably includes the overall condition of the car.
If it has an automatic transmission, can you verify that the trans fluid was changed every 30k miles or so? If not, then the transmission will be the next part of the car to fail, and that repair alone would probably be about equal to the book value of the car.
If I was in your situation, I would have the car towed to a well-reputed independent mechanic for a compression test. More than likely, the result will be bad news regarding the head gasket. You could have the head gasket replaced–along with having a new cylinder head–but then you may well find out the bad news about other internal engine damage from the overheating, so you should proceed very cautiously with repairing this car.
When you buy the next car, I strongly suggest that you do two things to limit your chances of getting another piece of damaged goods:
Buy from a private seller who has full maintenance records that you can inspect, and compare to the mfr’s maintenance schedule.
Pay your mechanic for a pre-purchase inspection. This will probably cost about $100, but it could help you to avoid buying a car with mechanical problems.
If a seller refuses to allow a pre-purchase inspection, move along, as they may be trying to conceal the same type of problems that almost surely existed in your current car when you bought it.