Looks to me like the brackets that hold the hinge pins on the drivers side are definitely bent out. If that is the case, shimming will not fix it, likely only make it worse. Can't see the door side, are those brackets bent also? Is the sheet metal of the door dimpled in any way around those brackets? This is mostly likely your problem and can't be sure if new brackets would fix the problem or not. The door still closes but is likely misaligned due to those bent brackets. Perhaps a good body shop could check it out for a modest fee.
