Hello, Rahul - and welcome to English Forums. I have underlined some problems. Please fix them and re-post your revised sentences. Always leave at least one space after a closing parenthesis.
1) Alex wants to do a lot of things in life but is held back because of him being perennially in “thinking mode" (I do not understand 'thinking mode').
1 ) He is frustrated at being cheated of his credit in the business.-- You were too busy packing in adjectives to notice that you used a word form of 'frustrate' twice in the same sentence... and for no reason. Write simply and directly, Rahul.
2) Later, Alex invites Martin to a hotel with the excuse of celebrating his impending visit to India.