Could this also be 'I like baking'?
Yes, it could.
I do not hear the n in én on the audio.
Dont worry, if you use én or te or ő most hungarians'll look at you weird. The pronouns are useless and not uses because the person is precised through the verb itself
so, is it that "Én" is used for emphasis in this sentence? something like this:
you: i like playing chess
me: (well) I like baking!
It's rather - "te nem szeretsz sütni - én szeretek sütni" that is "you don't like to bake - I like to bake". In your example sentence the emphasis is on the verb, so it would go something like: "Szeretek sakkozni - én sütni szeretek!"
Why is it szeretek and not szeretem, k is for others and m is for me