First, as to Nitrox: you could use EANx 30 for the 120' dive and EANx 36 for the 80' dives. You would want to be ABSOLUTELY CERTAIN you didn't use the tanks with EANx 36 for the 120' dive by mistake. I would use air for the first dive.
If there was some legitimate reason for diving to 120 feet, I would treat it as a square dive unless I had a lot of confidence in my computer. Since the EAD for EANx 30 is 103' the table entry would be 110' and the NDL would be 16 minutes from the time you start the descent until the time you begin a direct ascent to the surface. A 3 minute stop at 15 feet is required. I might stop at 60' for a couple of minutes and spend some additional time at 15 feet.
Remember, narcosis comes along at this depth. Using Nitrox is not a solution to this problem.
Since you come out as just an 'M' diver, plan to spend about 1:26 of SIT to get back to a 'B' condition - more is better, try for 2:00. Then from your handy EANx 36 RDP, your ANDL for the first 80' dive as a 'B' diver is 44 minutes with 11 minutes of RNT. Assuming you use up all of the ANDL then you surface as a 'V' diver. I might stop at 40' for a couple of minutes and definitely stop at 15' for at least 3 minutes. Plan to spend 2:00 (or more) of SIT to get back to a 'B' condition.
The final 80' dive is the same as the first. You have 44 minutes of ANDL and you exit the water as a 'V' diver.
I like the tables. But the examples above all hit the NDL. That's not a good thing. You might consider backing off on the bottom time and extending the 15 foot stops.
But this points out the futility of deep dives. If you descend at 60 feet per minute, it will take 2 of your 16 minutes ANDL to get to the site. If you decide to decrease your allowable bottom time by, say, 4 minutes (25%) for safety, you only get to spend 10 minutes on the wreck. What's the point?
If you are using a computer, fine. But I would start with these depths and times on a slate so that I could check the computer. Better yet, calculate the (A)NDLs for yourself. You absolutely don't want to depend on my work. Make sure you and your buddy agree on the plan - tables vs computer(s), etc. This should be decided long before you get wet!
Technically, there is no issue with this series of dives. I would extend the 15 foot stops and the SITs. I think I would use air for the first dive and EANx 36 for the last two. I would watch for signs of euphoria on the first dive.
If the first dive uses air, the NDL is 13 minutes (subtract 2 minutes for descent and 3 minutes for safety and you only get 8 minutes on the wreck). You leave the water as a 'K' diver and need 1:17 (minimum) to get back to 'B'.
As to the wisdom of these dives: Well, something must be wrong! You asked the question rather than just making the dives. Either you don't like deep diving (I don't), don't like planning deep dives or you don't trust your buddy. If the dives make you uncomfortable, don't make them.
But you should certainly have a written plan that doesn't rely on a computer. I have always written the (A)NDLs on a slate. But then, I don't trust computers.
This could be an excellent exercise for checking your computer(s) against a square profile using tables. The dives are so deep that you probably wouldn't be inclined to diddle around during ascent and try to turn it into a long multilevel dive. Even your computer will see it as a square dive with a little deco stop at mid-depth. A great exercise...
Bottom line: skip the dives and go for something more mellow. I like 30-40 feet. Lot's of neat stuff to see and enough light to see it.
Richard