I am not quiet sure about your first question. I think the first one is correct.
To your second question:
"like" and "love" are "non-continuous Verbs". These verbs are ususally things you cannot see somebody doing. These verbs are rarely used in "continuous" tenses.
Non-continuous Verbs indclude:
Example: to be, to want, to cost, to seem, to need, to care etc.
Example: to possess, to own, to belong
Example: to like, to love, to hate, to dislike, to fear, to envy, to mind etc.
He is here now = correct
He is being here now = not correct
He likes me = correct
He is liking me = not correct
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