My parents give us advice but never force us to provide.
Correction: "provide" could be replaced with "comply" or "conform."

My grandparents encourage me to follow my dream of becoming an engineer.
Correction: Change "to" to "of."

I deeply respect David for what he has achieved.
Correction: No changes needed.

She found herself in conflict with her parents over her future career.
Correction: No changes needed.

Everyone was respectful towards him, listening carefully to his explanations.
Correction: No changes needed.

Breadwinning and childcare are the roles of men and women in society.
Correction: No changes needed.

One disadvantage of living in an extended family is that grandparents may see things from different viewpoints.
Correction: No changes needed.

Some parents may also find their children’s behavior unacceptable and disrespectful to traditional customs.
Correction: No changes needed.

In order to bridge the gap between the older generation and the younger one, mutual understanding is the vital key.
Correction: Change "old" to "older."

The wisest solution would be for parents and their children to see each other as friends.
Correction: Change "lessen" to "see."

There is no need for gender issues because men and women can do many of the same tasks.
Correction: Consider rephrasing for clarity, such as "There should be no gender issues, as men and women can perform many of the same tasks."

I live in an extended family with my parents and my elder sister in the coastal area.
Correction: Change "elder" to "older."

One advantage of living in a nuclear family is that it strengthens the relationship between young children and adults.
Correction: Change "an nuclear" to "a nuclear."

In my opinion, family members are responsible for the chores.
Correction: No changes needed.

After graduating from university, I want to follow in my father's footsteps.
Correction: Add "in" before "my father's footsteps."

Over the past few years, in both the USA and the UK, the number of multi-generational households has increased to three or four generations living under the same roof.
Correction: Change "is" to "has increased."