Wordpress site optimisation

General information for the website: Photography website / portfolio
Kind of development: Customization of existing website
Description of every page/module: Homepage - portfolio with Instagram feed at the bottom of the page
About - a bit about me and what areas of photography I offer
Contact - direct contact details plus contact form
Description of requirements/features: 1. Updates not appearing: Whenever I make an edit, it takes several refreshes for it to update, and it’s very temperamental
as to whether that change will stay put. Eg logo - comes and goes on all pages.

2. Mobile: On mobile you can’t see the logo at all on any page.

3. Page loading speed times: Are slow! They are a D according to this report:
http://gtmetrix.com/reports/www.carrietang.com/fzTrSUDs Mostly seems due to my Instagram feed. I’m not sure how to
re-size the images automatically without having to edit each one before posting on Insta?

- Served scaled images = F: The following images are resized in HTML or CSS. Serving scaled images could save 1.4MiB (79%
reduction)
- Specify image dimensions = F: The following image(s) are missing width and/or height attributes.
- Leverage browser caching = D: The following cacheable resources have a short freshness lifetime. Specify an expiration at
least one week in the future for the following resources (these seem to be the featured images from my portfolio, again
not sure how to specify an expiration – or do any of the above!)

4. Contact form: this isn’t working, I'm not getting anything through to my Gmail account when I test. Would also like to add a
telephone number field (optional not required).

5. SEO:

- I installed Yoast but I think it's pointless as it talks to the backend, where there are only short codes! I removed it but what can I do to
improve the SEO instead? Currently it’s not showing up at all when I search Carrie Tang or Carrie Tang Photography in Google.
- I understand the template is SEO-friendly but how do I for example write a good meta description for my homepage or About Me
page? Or does the theme somehow do this automatically? (The old Yoast meta description is still showing up on the Google search)
- Same for when I start my blog - how do I ensure each post is SEO'd?
- My old domain is currently ranking higher on Google when I search Carrie Tang Photography (it's carrietangphotography.com) Is
there a way I can ensure it doesn't appear at all, or that my new site will always appear higher?

6. Google Analytics: I’ve signed up to use GA however the report is showing no traffic to my site since it’s gone live. I don’t think Google
is picking it up – what can I do to change this so I can report on traffic?
Extra services needed: Optimization
Extra notes: