Door won't latch on my '62 Valiant

Some people do overadjust the depth of latches on accident and it causes this.
(Take the latch part on the body off so it does not interfere with body alignment while adjusting)

Start by centering and aligning the door in the body, and then adjust the latch.
Back out the latch until the door closes, latches and opens easily, then start moving the latch in until you have a nice happy medium of latch tension and door moulding sealing.