Foreign Salary Income should be included in US tax year ?

Hello Team, 

I moved to U.S. on Feb 03 2022 for first time.  Now I will be submitting tax returns in US for the year 2022. 

Before moving to US, I used to get salary income in India.  And Indian tax year is from April 2021 to March 2022. So, I submitted tax returns and paid taxes for Indian income received till Jan 2022. And I also included US salary of Feb and March 2022 in India tax returns.  I  included US salary in Indian tax returns because, I was resident Indian for that financial year & India also taxes global income. 

Now, question is - 
1. should I include salary income of Jan 2022 in US tax returns or not ?  As I am resident alien for tax year. 
2. I paid taxes on Feb-Mar US salary in India while submitting the Indian return. Can I get any tax credit for that ? How to claim that ?  I took tax credit in India on these 2 months income for taxes paid in USA. 

3. If I need to include Jan2022 salary in USD, how can I get credit for taxes paid in India ?  

4. What currency conversion rate should I use for INR-USD ?

This is my first post on this community forum. 
Thanks in advance.