Actually, I feel a few of the other answers here (and even the question) are a bit simplistic: there's more to this issue than is indicated by the latest editions of the Chicago Manual of Style or Bringhurst's The Elements of Typographic Style. In lieu of a very long answer, let me point to the (long) Wikipedia articles on exactly this issue:
My (inadequate) summary would be something like the following:
The traditional typesetters' convention was to use a (single) longer space between sentences than between words. For instance, CMoS 1911 still recommends a 3-em space between words and an em-quad between sentences.
With the introduction of the typewriter (invented in the late 19th century), many typographical niceties were lost: the typewriters produced monospaced (fixed-width) text, and the only choice was between one space and two. Many people felt a single space wasn't sufficient to see the gap between sentences at a glance, so double spacing came into vogue.
Today, with proportional (variable-width) fonts, two spaces is no longer necessary, and can look distractingly too wide. Modern tools allow more choice than between exactly "one space" or two. In particular, TeX and LaTeX have got it right since the 1980s: they typeset a slightly longer space between sentences (though this can be turned off). HTML ignores multiple consecutive spaces anyway. (Sometimes fonts try to be smart and have the period character itself have a wider space following it, but this isn't ideal: there can be periods within a sentence, because of abbreviations etc.)
Even shorter summary (my opinion):
Don't use two spaces unless you're using a fixed-width font like a typewriter. If forced to choose only between one space and two, choose one. But if your typesetting system supports it, have a wider space between sentences.
Like all comprehensive answers about English (or those attempting to be so), this answer begins with, “it depends”.
A quotation that is not a complete statement should never have a period within its quotation marks:
The senator, when asked why he refused to support the measure, said that the language of the bill was “confusing and verbose”.
“Confusing and verbose” is not a complete statement; the quotation is simply attributing these exact words to the senator, while summarizing his complete statement largely through omission.
By contrast, a more complete statement attributed to the senator CAN have the period inside the quotes:
The senator, when asked why he refused to support the measure, said: “The American people deserve to understand the laws their representatives in Congress are writing, and this confusing and verbose bill hinders that effort.”
Now, it is still acceptable to place the period outside the quotation marks in this case. However, if the quotation spans the entire sentence from capital letter to fullstop, and/or continues for multiple sentences and comprises a full paragraph, the quotation should enclose the final period.
Best Answer
Your instincts are correct.
In bulleted lists, as in tables and spreadsheets, the word is consistency. Unfortunately, there is no hard and fast rule - it is a stylistic choice.
That said, most writers do not put full stops at the end of each list item unless each and every item is a full sentence. Even if they are full sentences, some style manuals dictate no full stops anyway.
As yours are not all full sentences, leave out the full stops on all items.