Creation of and coding of new website

We are a specialist company who provides design and test services to companies using electrical insulation in automotive and aerospace applications. We have an existing website www.aerospacehv.com that was created some years ago and we wish to update this. We would like the following:

-A website that ideally continues to use Wordpress or similar (and via which we can easily make updates / additions to content)
-A website that complies with modern accessibility standards
-A website that is secure and available via https (we would wish the person providing the service to be able to organise the appropriate certificate)
-A website that works on any device that accesses it (whether a laptop / mobile)
-The ability to embed videos (taken from measurements we have made in the lab)

Our present view on the content is that it needs to reflect the following. However, we would welcome advice on the content that we should present:

-Our company offer including the application areas that we support
-The facilities (hardware and software) / test methods that we have to provide to our customers
-Examples of projects that we have completed
-Details of our training offer (this will likely link to an external site)
-Details of the team
-Place to post job adverts
-Ability to subscribe to mailing list (we have a mailchimp account set out)
-Contact details
-Link to LinkedIn page