Set 'initial jobs' and 'final jobs' within a stage that do not run in parallel and always execute

Within a stage I'd like to be able to run the following jobs:

1 deploy website to integration environment
2 deploy database to integration environment

3 run selenium tests
4 run jmeter tests
5 run other integration tests

6 take down the website on the integration environment
7 take down the database on the integration environment

I would like to ensure 1 and 2 do not run in parallel, while 3,4 and 5 do. And even if one of the jobs 1-5 fail I would still like 6 and 7 to run.

The same configuration option that is present within a job would be nice for stage level. With the addition of 'initial jobs' or another way to avoid jobs to run in parallel.