Tilden becoming president is big tho, because of federal patronage jobs and the end of Reconstruction. The small PoD would be Hayes winning outright, since even without the Compromise, Reconstruction was coming to an end, the only difference is the compromise made it sudden rather than gradually through Hayes’ entire term.
1824 is kinda simple, have Crawford die from his stroke and then have JQA be nominated by the caucus. The election is unanimous. Otherwise, have JQA reach out to Jackson and outright promise to make him Secretary of War, and do the same with Clay and state. Then it’s Crawford v. JQA. Hell, if JQA offers to keep Crawford in Treasury and he accepts, then even better and goes back to unanimous.
Although apparently JQA wanted Jackson to be his VP, which Crawford and Clay hated, so that would make it complicated, though honestly, a JQA/Jackson ticket would win hands down against Crawford and Clay. (Plus, as bad as Jackson was, still better than Calhoun!)