There's really not enough information to answer the question about qualification, however, there are several items I can comment on. The right eye is farsighted, hence the positive sign in front of the power. +2.25 is within the waiverable range, however, the only way to accurately measure farsightedness in many cases is with a cycloplegic refraction (using Cyclopentolate not Tropicamide/Phenylephrine). Second, the left eye is nearsighted, hence the minus sign in front of the prescription. When the eyes are different like this, stereopsis (i.e. depth perception) is often compromised.
The only way to determine where your son stands would be to have an optometrist do a cycloplegic exam and measure the degree of stereopsis. Although it does not guarantee anything it would give you a much better feel for where things stand. If you choose to get this exam, either post or PM the results and I can comment further.