So, the means of production is produced by my, the worker's labor. Since I don't get to own what I produce, how am I compensated for my labor?
Depends on the system. Under market socialism you would be paid shares of the profits, or if you would be compensated by a governing authority.
Also... You CAN own what you produce. Again, what cannot be owned are the MEANS of production. You can still own the result of your labour and profit from them.
Socialist policies?
Meaning that what I produced through my labor gets slowly taken from me and distributed to the community?
No, see above. What you produce through your labour can still be yours.
Yes, the poor destabilize capitalism. So the existence of poor people do not benefit the capitalist. So they have as much reason as anyone to eliminate poverty.
And yet, they don't, when they very easily could. Like, practically overnight.
Inflation is a product of the government interfering with the free market.
No, it is not. Decreasing government regulation does not lead to less inflation. In fact, the most common way to reduce inflation is to increase taxes.
Value is determine by the individual in capitalism. You get to decide how much a product is worth to you.
Except when the government interferes with the free market and artificially drives up the value of that product.
This seems a very specific claim. Do you have any examples of this? There are tonnes of examples of corporations and business owners artificially driving up prices on products, either due to a spike in demand or by generating false scarcity.
That's not the fault of capitalism. It's the fault of the government interfering with the free market in the name of stabilizing the economy.
No, that's very much the fault of capitalism.
OTOH, I'm not sure how you determine value by utility or who decides the value of utility.
Seems that if you can't possibly decide that then the free market can't possibly decide much of anything either.