I'm pretty confused why पास is here. It seems to me that "आमिर के क्या है?" may have the same meaning as well. Also, is it acceptable to have two postpositions after one noun, just like in this sentence? If it is acceptable, how would the second postpositions like पास be placed?
के पास implies possession (in addition to expressing proximity).
"आमिर के पास दो कुत्ते हैं।" means "Amir has two dogs." (Although the literal meaning is "There are two dogs near Amir.")
"X possesses Y" is expressed as "X के पास Y है".
Oh yes, multiple postpositions are pretty common. Here are some examples:
घर के पास दो पेड़ हैं। - There are two trees near the house.
मैं आमिर से पहले आया। - I came before Amir.
यह केला हाथी के लिये है। - This banana is for the elephant.
नेहा के सामने कौन है? - Who is in front of Neha?