1. This is correct.
2. Non-continuous (or stative) verbs should not be used in any of the continuous (progressive) tenses. This applies equally to the present perfect continuous tense (e.g I have been running) and to the past perfect continuous (I had been running), the simple perfect continuous (I was running) and future forms of the continous (I will be running, I am going to be running). The rule is not specific to the present continuous tense.
Note: In everyday, spoken English this rule is often ignored anyway - but you need to be aware of it and to obey it if you are doing any kind of test in English.