Given that your computer is older than 5 years, your hardware has little monetary value. A similar second hand replacement is likely to cost you about $100 (or less). Asking an engineer to inspect your broken computer and then buying a replacement part is likely to cost you $100 (or more).
So unless your computer is particularly sentimental to you, or you have a strong repair>replace principle, there's not much reason to pay for an engineer to examine it.
So unless your computer is particularly sentimental to you, or you have a strong repair>replace principle, there's not much reason to pay for an engineer to examine it.