If a potential employer or recruiter is going through your resume, they will definitely pick up on spelling and grammar errors and they are almost guaranteed to take you out of the candidate pool because of this.
If your resume shows that you cannot spell properly and you make grammar errors, it is an indication of incompetence. This is especially important if you are applying for an office position or for a job where you will have to interact with clients. If you cannot use proper grammar, it also indicates that you are unable to communicate effectively.
Before sending your resume to an employer or a recruitment agency, ensure that your spelling and grammar is on point. There are many online tools and websites that will identify your errors and provide corrections.