The phrase "Strictly good news this new week" is grammatically correct, but it could be considered somewhat informal or abrupt depending on the context.
The phrase suggests that only positive news is expected or will be shared during this week. It's a way of emphasizing that there will be no negative news, and it conveys a sense of optimism.
Here are a few possible rephrasings:
1. "Only good news this week."
2. "This week brings only positive