A319 Captain reported the improper usage of the Multi-Function Control and Display Unit and a strong crosswind led to an altitude and course deviation while flying an RNAV RNP approach. The Captain disconnected the autopilot and hand-flew to re-intercept the lateral path and remain in the protected airspace.

Narrative

During arrival into ZZZ we requested the RNAV RNP Runway XX. We had followed the approach setup guide and were prepared for the approach; but it was the first time either of us had flown an RNP after being trained. We received the approach clearance late; just prior to ZZZZZ; and were instructed by ZZZ Approach to cross ZZZZZ at 14;000 ft.; our altitude at the time. ZZZZZ's published altitude is 11;300 ft.; so when I armed the approach; the aircraft immediately went to final approach and departed our FCU (Flight Control Unit) altitude of 14;000 ft.; since we neglected to enter 14;000 ft. at ZZZZZ onto the MCDU (Multi-Function Control and Display Unit).I disconnected the autopilot and climbed the 100 ft. back to 14;000 ft. During this time; due to a strong crosswind; we had drifted right of course and were unable to resume the lateral path. I instructed the pilot monitoring to give me direct ZZZZZ and then attempted to engage the autopilot; but we were already past the lead turn point. I then manually flew the turn at ZZZZZ; inadvertently banking to nearly 45 degrees in an attempt to remain within the required lateral distance. Once we had resumed the lateral path past ZZZZZ; we engaged the autopilot; armed the approach; confirmed final approach; and began the descent. The remainder of the approach was uneventful.