TL:DR Your case appears complex. IMHO you should seek advice from an Immigration lawyer.
Option 1: apply for child dependents only
You don’t mention how many children you have or how old they are, however you will need to meet the eligibility requirements in https://www.gov.uk/guidance/immigration-rules/appendix-student, including:
- Care requirement for dependent child of a Student
ST 35.1. If the applicant is aged under 18 on the date of application there must be suitable arrangements for the child’s care and accommodation in the UK which must comply with relevant UK legislation and regulations.
Child care in the UK is expensive and places can be scarce (there are often long waiting lists). The average cost of sending a child under two to nursery is £138 per week - part time (25 hours) and £263 per week - full time (50 hours).
- Financial requirement for dependent child of a Student. This requires proof of £845 per month (if studying in London) or £680pm (studying outside London) for 9 months, equating to £7,605 or £6,120 for each child. The funds must be in addition to the funds required for the Student to meet the financial requirement.
Option 2: apply for all dependents (husband and children).
ST 29.1 of the Immigration Rules https://www.gov.uk/guidance/immigration-rules/appendix-student state ”The suitability requirements for a partner or child on the Student route are that they must not fall for refusal under Part 9: grounds for refusal.”
Part 9 states “ 9.8.1. An application for entry clearance or permission to enter must be refused if:
(a) the applicant has previously breached immigration laws; and
(b) the application is for entry clearance or permission to enter and it was made within the relevant time period in paragraph 9.8.7.
The relevant time period is 10 years in the case of a 320 (7a) refusal, meaning that your husband’s 9 year old refusal makes it highly likely an application from him would be refused.
See this related question for a further explanation of how a 320 (7a) refusal typically affects subsequent applications https://travel.stackexchange.com/questions/77813/uk-visa-refused-once-under-3207a-false-or-forged-document-and-i-want-to-app
