Indeed, the atomic masses will tell you how much mass an element will have, the molecular masses will be the how much mass each molecule of a compound will have and chemistry will tell you which compounds are feasible.
The periodic table will help you interpret how elements will react together, and whether they are going to be solid, liquids or gases.
The further to the left or down, the more metallic.
Why this is, boils down to quantum mechanics. But a simple explaination can be that electons 'want' to fill "shells" that contain even numbers of electrons, and that more electrons can fit into later shells, so there can be 2 electrons in the first shell, (hence two elements in the first line: Hydrogen and Helium) then 8* then 8** then...
The inner electrons "shield" the outer electrons slightly from the nucleus, meaning that it is easier to lose electrons with higher atomic numbers, metals lose electrons more easily whilst non-metals gain electrons more easily)
The further to the left of the periodic table, the easier to lose electrons to make a full shell, to the right it is easier to gain electrons to make a full shell. Ionic compounds (salts) have a metal "donating" electrons and a non-metal receiving electrons. These compunds (eg Sodium Chloride) are stuck in a crystal lattice of positive (metal) and negative non-metal) ions, which attract each other and so are very solid.
Nonmetals can "share" electrons (covalent bonding) but these tend to be isolated Cl2 is two chlorine atoms sharing one pair of electrons to "fill" their shells. This is a gas.
So top right: most reactive non-metal (Florine) (it is so reactive that it can even react with the "inert" Xenon, which is the least unreactive of the "inert elements").
Bottom-left: most reactive metal (Francium)
*Li, Be (metals) B (metallic and non-metallc properties), C(a nonmetal, but some metallic properties) , N( non-metals), O, F, then Neon (full shell, inert)
**Na, Mg, (metals) Al (some non-metallic properties but a metal, Si (semiconductor), P(non-metals), S, Cl, then Ar (full shell, inert)
for the derali about qualifications: I a semiconductor engineer, with a physics background mainly working on device physics, but with the odd bit of processing too (so moderatly rusty A-level chemistry)