3. The trajectory of the Apollo missions is nothing like spacecraft go to the moon today. Today spacecraft going to the moon make several increasingly large earth orbits not a crazy “8” trajectory.
I would cover everything you posted, but I think everyone else already did this. Since Orbital Mechanics has lately been my really big interest in spaceflight, I can handle this one. haha.
Actually, the most efficient Lunar Orbit Rendezvous pattern would be this "figure 8" which you speak of. Basically, the spacecraft is in what is called a "parking orbit" around Earth. It is basically sitting there to await what's called a Hohmann Transfer, or, in this case, "Trans Lunar Injection". The burn is a prograde burn that usually is fairly long. Someone here might be able to give you the exact TLI burn time. What it means is to burn in the direction of travel, adding velocity. For Apollo, it was 25,000fps to 35,000 fps (feet per second). So, about 1,000 feet per second of Delta-V. Pretty big burn, actually.
Anyway, when you add velocity to an orbit, you boost into a higher Apogee. To entertain hoaxers, yes, Apollo was actually in Earth Orbit (technically) the entire time!
Once you've done this, the further you get from Earth, you slow down. With the trajectory sent out beyond the Moon's orbital altitude, you basically just coast along until you get pulled in my the moon's gravity, or, enter it's SOI (sphere of influence).
Then, you'd make two more burns. LOI
1 and LOI
2 (Collins). They "drop" you into Lunar Orbit. Once there, after the desired orbits, you make another burn called T.E.I., or TRANS-EARTH injection.
The whole flight plan looks like a figure 8 on paper, although it is a little more complex than that.
I would say that this is the most efficient way to go to the moon (at least for lunar orbital missions.) So, I don't know where you got your information in the OP.