In this picture there looks to be a few problems. Bear in mind the weight of this capsule as we are told, was just over 6 (US) tons.
Take a look at the parachute cord, although I'm sure it would have been made with some super strong material like unobtanium, (chuckle).
On a blowy day, say with wind over 30 knots, the Kevlar, Mylar and carbon headsails on the yacht I race on put about 10 - 15 tonns of pressure on the headsail sheets (ropes) that control the position of the sail.. the sheets are the 'ropes' that the crew pull on (using winches) and release to trim the sails basically..
Our mainsail, the big one, puts a shit load more pressure through the rig.. given the mast is 70feet long.. I don't actually know exactly what the pressure is on the ropes, but the mast 'stays', which are the wires that run from the deck to 3/4 up the mast, I'm told have as much as 30 tons of pressure going through them on a rough day!

Anyway, our lines (ropes) are about the same thickness.. so no, those ropes would have no problem at all holding that weight.. especially given there are a few of them spreading the weight.
I don't know what their ropes are made from, but ours are mostly Kevlar..
Moving on:
Also, take a look at the top of this command module...This is where the astronauts climbed in from the docked LM. Can anyone get their heads around how they managed this?
The top looks closed,so how was any parachutes deployed?
How could the men get into that little hole and past the 3 gigantic parachutes?
Seriously people, does this appear normal to any of you?
And people wonder why this stuff is being questioned. 
Not sure what you don't understand here.. the 'chutes were packed around the side of the entry hole.. which you can clearly see in the photo. See drawing below:

What's the problem with the crew hatch? its plenty big enough for them to move through... especially in zero gravity.
