Constructions of configurations
For what types of combinatorial conditions do there exist symplectic realisations if and only if there exist complex realisations?
One source of examples comes from topological real line arrangements (pseudo-lines); Ruberman and Starkston proved that they can be "symplectised" in CP², even when they lack complex algebraic realisations. Can this construction be extended to pseudo-conics or pseudo-curves of higher degree? What is the scope of these constructions? Is there an algorithm to determine pseudo-realisability of curve configurations?
Another source of examples comes from toric geometry, which has proven useful to construct Lagrangian and symplectic surfaces. Can toric models be exploited in the context of configurations?

Invariants and obstructions
Can symplectic curves complements have different fundamental groups than those of complex curves? For instance, the Alexander polynomial is a good tool to detect differences of fundamental groups. Can the Alexander polynomial of a symplectic curve distinguish it from a complex curve? Do Libgober's divisibility conditions hold for singular symplectic curves?
Can we develop other symplectic invariants to distinguish between symplectically non-isotopic singular curves? What are the simplest possible combinatorial configurations for which there exists a (complex or symplectic) Zariski pair (i.e. non-isomorphic curves with the same singularities)? Are there differences in the realisations of Zariski pairs in the algebro-geometric and symplectic categories?

Branched covers, BMY, log-BMY
Following Hirzebruch's ideas, what types of symplectic 4-manifolds can be constructed as branched coverings using symplectic configurations that differ from complex curves? Can we construct new non-Kaehler symplectic 4-manifolds? Can we cross the BMY line? Can we find counterexamples to the log-BMY inequality? Can we prove or disprove the bounded negativity conjecture using symplectic methods? In the context of last question, is there a way to repair J. G. Dorfmeister's proof that the bounded negativity conjecture holds for rational surfaces?

Conic-line arrangements
Generalising an example of Orevkov, which singular curves can be related to rational curve arrangements via birational transformations? Bridging combinatorics and algebraic geometry, can we understand the freeness (in the sense of Saito) of conic-line arrangements? What role does quasi-homogeneity of singularities of such arrangements play in this subject? Can we construct, in a systematic way, new classes of conic-line arrangements which are free (i.e. the associated module of polynomial derivations tangent to a given arrangement is free)?