Agreement Letter Concerns
The agreement letter misses out on details of pay, and upon reading the letter, we can see grammatical errors. A full compensation for all services provided by the employee shall be paid at the end of the contract; such payments shall be subject to normal statutory deductions by the employer.
Is the Job Offer Genuine?
The question here is, did you apply to them for the job, or is the mail unsolicited? If you feel the need, please contact the hospital directly and do not reply to the mail at all. It looks fake to me.