For the the Lifetime Learning Credit, you must be a citizen or resident alien.
For the standard deduction, you can take the full standard deduction as a resident alien. As a non-resident alien, you can claim the standard deduction up to the amount of your US based income.
Education
Benefit Comparison
IRS Pub for Non-Resident and Resident Aliens: https://www.irs.gov/publications/p519/ch01.html
