After some horrendous 2 hours of clicking, SOLAR doesn't give me a link to select courses.

According to the info appearing on Mac's site here:
http://registrar.mcmaster.ca /under...ion-via-solar/

It would appear that today is the correct day to select courses for Level 3 Science, which is exactly what I am attempting to select for.

Attached is a screenshot of what I see.
Any advice on this would be greatly appreciated.

check which day you are scheduled to register
http://registrar.mcmaster.ca /under...ion-via-solar/

It says level 3 science selects courses June 11.
It is June 11.......

Well it clearly says June 16th, so that should have been your first hint weeks ago. Email your faculty.

How many units have you completed (i.e. passed)? Sounds like you may not have enough units (i.e. less than 60) and are therefore considered in Level 2.

I have 66 units and it even says "May Continue In Program" on grade report, everything looks approved on this end, i'm confused as to what is wrong then

Do you have all the mandatory courses for advancing to Level 3? Did you take anything in summer school to push you past 60? Call the Office of the Registrar at 9 AM.

Called registrar - they passed me on to faculty of science office - which gave me a series of long recorded messages before saying that the inbox was not accepting messages. And then it hung up.

I don't see why course selection has to be such a painstaking process.

Call an academic advisor. I checked a couple weeks ago and mine said June 9th so I clicked away only to find out it was June 13. my academic advisor said I was 3 units short of being considered level 4. I am taking a summer course and as soon as my mark is received for my summer course they can move me to level 4. She said that some people had double dates which is why a couple weeks ago I saw the June 9th and they had to manually change people to their correct date.