In a healthy relationship, there has to be some flexibility and compromise from both partners. If he is truly busy taking care of his parents or with his work, he had been open with you about his availability. It would be fair that he finds some flexibility in his own schedule to see you. Otherwise, over time, you may start to feel resentful and he may try to say that he'd already told you about his activities.
The issue here is he wanting to have a true and healthy relationship and how willing would he be to contribute to it. You cannot be the only one sharing your time. As far as whether or not you're condemning yourself it would depend on what you tell yourself and what you believe. If you're at the stage of your life when you can deal with his expectations and believe that he loves you, then you're not condemning yourself because you're acting out of love for him.