The author is grappling with severe anxiety and agoraphobia, triggered by the loss of his mother. Forcing him to travel against his will is akin to pushing someone with a broken leg to run a marathon. His mental health should be the priority, and his sister should show more understanding instead of demanding immediate gratification.
The author is using his mental health as a weapon, guilting his sister into complying with his demands. While his condition is unfortunate, it doesn't give him the right to dictate the terms of their relationship. His self-centeredness is evident in his expectation that his sister should always accommodate him, regardless of her own feelings and desires.
The author's agoraphobia is a genuine issue, but his communication with his sister lacks empathy. While he shouldn't be forced to travel against his will, he also needs to acknowledge his sister's feelings and find alternative ways to connect. The sister, while understandably wanting to see her brother, should respect his boundaries and offer support rather than pressure.