Yes surgical Reconstruction of ACL is not a emergency procedure. If you have frequent episodes of instability the sooner the surgery the better the outcome and makes life easier for both patient and surgeon

Get it operated early. Not an emergency but waiting 2 monts is not good

Arthroscopic acl repair is treatment of choice as soon as possible , as arthritic changes has already started suggesting long duration of injury.. you have already waited for long now. Don't worry for surgery much. These days advanced equipments are there for its repair

In view of instability its first important to do physiotherapy as from what you are saying the muscles appear weak. The patient will need surgery at some time as there is a complete rupture of the acl ligament..acl ligament surgery is never an emergency surgery unless there is a fracture associated with it..which is not the case here..so physio first followed by reevaluation and then plan for surgery later.

Pain is not the concern.  The instability of the joint is worrying. You can wait for however long you want,  but don't expect any improvement.  As the knee continues to move in an abnormal manner further cartilage damage will occur. So,  It is better to get the surgery done as soon as possible

There is no emergency You can get it done after 2 month. It won't improve and there is no alternative to surgery