im sorry but you seem to have been fed quite a few western myths about the gdr. you seem to be arguing in good faith though, so lets examine:

no freedom of movement

this is just plain wrong. tourism was possible and encouraged not only within the country, but also to fellow socialist states like czechoslovakia and hungary, as well as, albeit to a lesser extent the soviet union. such trips were enjoyed by virtually the entire population thanks to guaranteed vacation time.

constant shortage of goods

shortages were only a thing in the immediate aftermath of ww2, as well as during the 1980s. in the second case they were caused by the economic liberalization enacted at the time due to western pressure, as well as the general deterioration of conditions in the eastern block at the time, which happened for similar reasons. during the late 60s and 70s per capita consumption was more or less equal to the west.

being a dictatorship

every state is necessarily a dictatorship, as this is important for class preservation. just as liberal states will mercilessly crush revolutionary elements, so must socialist societies crush counterrevolutionary ones. please read engels on authority to understand this point better. it is a short read and very eye opening.

a housing shortage

any source on this claim? the only periods i can imagine this to be the case is in the beginning due to war era destruction and the end due to crisis.

a culture so dictated by work that people had little to no free time

this is in fact a valid point. a solution for this could have been found within the socialist system though.

political pressure

already answered previously in the point about "dictatorship".

control over the media

"All over the world, wherever there are capitalists, freedom of the press means freedom to buy up newspapers, to buy writers, to bribe, buy and fake “public opinion” for the benefit of the bourgeoisie."

– v. i. lenin

the fucking stasi

the mfs was necessary due to the constant threat of counterrevolution going out from west germany. but its reach and capabilities are much overblown in western propaganda nowadays. in fact, the east spent much less on its intelligence apparatus than the frg while still managing to have a lower crime rate.

the goals you stated are extremely noble and i do in fact agree with every single one of them. you are being idealist though, which means that you absolutely need to read theory, especially lenin. a good reading list can be found here. if you would educate yourself properly you could become a great contribution to the communist movement.