[support] Blocks

[Roger]

Using Drupal 7. Mayo theme.
On the eckankar.org.au front page I have a number of blocks in the 
centre of the page and in each sidebar, each with info and an image. As 
admin I can alter the content and position of each block.
Been using Drupal for many years but the below has me puzzled.

Is there any way to:
-- give a specialised user with Role of MainEditor permissions to 
enter/change info in blocks on a front page?
-- let MainEditor alter block positions with a Weight number?
-- make articles stay in a predetermined order, not display as 'latest 
to top of page'?

I also have empty blocks positioned via the Blocks List at the top of 
Content section and in the Highlighted. I can edit the block info as 
admin but not as Editor. If I put an article or page in the block it 
displays at the bottom of the front page. If I enter info it stays at 
the top. See the block with the orange and yellow flowers as an example.
Perplexing!

Maybe I have to rethink the whole theme and make it more like 
news.com.au displaying block stuff in small blocks which alter position 
depending on latest entries and link to individual pages.... hmmmm food 
for thought!

Does anyone have suggestions or hints on how would be a good way to 
handle this.

Thank you for any help
Roger