I believe PPL also requires some night flying time (at least the 141 school I am at does). I believe Sport Pilot License is not valid at night so you may have to gain some night landings and hours to go for the check ride as well. However I do see that you have all the hours signed off so I will assume this includes night hours.
But AFAIK you will need to pass the written, oral and check ride to get the PPL.
As per your updates this is what you will be checked on for your check ride. Its a bit dated but this video has some nice coverage on what you may get on your oral exam. If you have the Jeppesen study materials you should have some good lists of what you will find. I did find this in the FAR
§61.103 Eligibility requirements: General.
To be eligible for a private pilot certificate, a person must:
(a) Be at least 17 years of age for a rating in other than a glider or balloon.
(b) Be at least 16 years of age for a rating in a glider or balloon.
(c) Be able to read, speak, write, and understand the English language. If the applicant is unable to meet one of these requirements due to medical reasons, then the Administrator may place such operating limitations on that applicant's pilot certificate as are necessary for the safe operation of the aircraft.
(d) Receive a logbook endorsement from an authorized instructor who:
(1) Conducted the training or reviewed the person's home study on the aeronautical knowledge areas listed in §61.105(b) of this part that apply to the aircraft rating sought; and
(2) Certified that the person is prepared for the required knowledge test.
(e) Pass the required knowledge test on the aeronautical knowledge areas listed in §61.105(b) of this part.
(f) Receive flight training and a logbook endorsement from an authorized instructor who:
(1) Conducted the training in the areas of operation listed in §61.107(b) of this part that apply to the aircraft rating sought; and
(2) Certified that the person is prepared for the required practical test.
(g) Meet the aeronautical experience requirements of this part that apply to the aircraft rating sought before applying for the practical test.
(h) Pass a practical test on the areas of operation listed in §61.107(b) of this part that apply to the aircraft rating sought.
(i) Comply with the appropriate sections of this part that apply to the aircraft category and class rating sought.
(j) Hold a U.S. student pilot certificate, sport pilot certificate, or recreational pilot certificate.
In regards to section H you have to pass the practical for the PPL specifically so it would seem you will be retested. Although part J would allude to the fact that your SPC comes in here it seems that it just counts in place of a student pilot certificate.