Female voice is off again, she's pronouncing parce with an extra e sound. (Parce-eu-que) When it should be liasoned with the que. (Pars-que).
It's correct both ways, you can pronounce the schwas if you want to stress what you're saying. You're more likely to hear them pronounced the farther south (in France) you go.
"Paskjt'm", on the other hand, is also a valid pronunciation.
No. Car is similar to parce que, but it's a coordinating conjunction and thus cannot begin a sentence or clause.
aimer means like when directed toward an object, and love when directed toward a person.
For the record: though this starts with a capital letter and ends with a period--it is not a sentence. Why does duo insist on using fragments for lessons when the options for complete sentences are, virtually, limitless?
Why wouldn't it be a sentence? Surely you aren't the kind of person who would reply to "Why did you make breakfast for me this morning? You didn't have to do that." with "I made breakfast for you this morning, even though I didn't have to do that, because I love you."
Of course not, you would just say "Because I love you." which makes it a sentence just like anything else.
You just imagined a context for the above fragment. Duo provides no such context.
By itself, "because I love you" is meaningless and would never pass as a grammatically correct English sentence.