My daughters lab tests came back with elevated liver enzymes. Alt 264 ast 111... also her reactive lymphocytes at 625, and basophils 264. she is 22?

Need to examine. All laboratory results need to be interpreted in the clinical context and the doctor who ordered the tests is usually in the best position to do that. Talk to the doctor who ordered the tests. Having said that, it may be due to a viral infection. Ask your doctor if repeating the tests in 3-4 weeks would be useful.