Here are my questions/points:
1a) I also have 4 comments skipped and again I do not know which ones. The only relating thing in the log are some lines like:
PHP Notice: Undefined index: fragment in /var/www/vhosts/fashionhasit.com/httpdocs/wordpress/wp-content/plugins/blogger-importer/comment-entry.php on line 23
Other than that, there are also some entries
Error saving blogger status
followed by a printout of some array with what seems to be the current status.
1b) Some images are skipped, but I cannot see which ones. I have enabled dbg in log files.
Again some lines like:
PHP Notice: The data could not be converted to UTF-8. You MUST have either the iconv or mbstring extension installed. Upgrading to PHP 5.x (which includes iconv) is highly recommended. in /path/wp-includes/class-simplepie.php on line 1446
 PHP Fatal error: Maximum execution time of 60 seconds exceeded in /path/wp-includes/class-wp-image-editor-gd.php on line 176
[date] Error saving blogger status
[date] array (....
Checking with phpinfo() I can see that the hosting has php v5.3.28 with iconv enabled.
2) I have to reload the page and hit the import button quite a few times, since it stops every 50-100 images. The strange thing however is the following:
When it stops the topmost image in the media (I guess the last one imported) has no small image icon! If I open the picture I can see it normally except one thing: the sidebar that show filename, type, size and dimensions is NOT showing the dimensions! i.e. it does not show the line Dimensions: smth × smth . However, the image is really there with the expected dimensions. Refreshing the page etc, does not make any difference.
3) What defines the max excecution time I can use? What values are suggested for globals in the .php when there are many pictures?
Background: Importing a blog with decent size (500 posts, 5.000+ images). In the .php file of the plugin I increased images sizes to 1600 max